How many solutions are there? 100pts

To find the surface area, we must define what is the surface area

In this case, we have a cube

  ⇒ which means all the sides have equal areas since all the side lengths

      are equal

That means the surface area

  ⇒ is equal to ⇒ 6 * (Area of One Side)        

        '6' comes from the # of sides on a cube

Surface Area = [tex]6 *\frac{1}{9} *\frac{1}{9} = \frac{6}{9 *9} =\frac{2*3}{3*3*3*3} =[/tex] 2/27

Hoped that helped!

Answer:

Step-by-step explanation:

Students who will attend community college are not required to take SAT or ACT exams.

Given that,

Based on the information.

Therefore, Students who will attend community college are not required to take SAT or ACT exams.

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Answer: The answer is B and C.

Step-by-step explanation: Answer the main question and write down the answer then check each choice and see which one matches the answer you wrote down.

Answer:

63⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰

Answer:

D. 102.6 in²

Step-by-step explanation:

The area of the square is 9 in² (3 × 3 = 9)

The area of the rectangle is 30 in² (3 × 10 = 30)

The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)

Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.

Hope this helps!

Answer:

Option D

Step-by-step explanation:

Square:

side = 3 in

[tex]\bf \boxed{\text{Area of square = side *side}}[/tex]

                        = 3*3

                        = 9 square inches

Rectangle:

length = 10 in

width = 3 in

[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]

                            = 10 *3

                           = 30 inches

Circle:

diameter = 9 in

radius = 9 ÷ 2 = 4.5 in

[tex]\boxed{ \text{Area of circle = $\pi r^{2}$}}[/tex]

                       = 3.14 * 4.5 *4.5

                        = 63.6 square inches

Total area = area of square + area of rectangle + area of circle

                  = 9 + 30 + 63.6

                  = 102.6 square inches

Answer:

C ≈81.64 inches

Step-by-step explanation:

Formula : C ≈ πd

Where:

C = circumference

π ≈ 3.14 {About}

d = diameter

As Given :

Wheel of a bike has a diameter of 26 inches.

Solution:

Note - Given that diameter = 26

π ≈ 3.14 {About}

C ≈ 3.14 (26)

C ≈ 81.64

Therefore the circumference of the wheel is 81.64 inches

Kavinsky

Answer:

12 560 cubic feet

Step-by-step explanation:

radius of circular cross section = 20ft/2 = 10ft

Area of circular cross section = πr²

                                                 = 3.14 x 10 x 10

                                                 = 314 square feet

Volume of cylindrical tank =  314 ft² x 40ft

                                            = 12 560 ft³

Answer:

Step-by-step explanation:

36/120 for parts

x-36/120 is for labour

x = 120

120-36/120

84/120

times by 100 for percent

70%

The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)

Answer:

t = 11.559 years

Given Data

(about 11 years 7 months)

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.5/100

r = 0.055 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )

t = 11.559 years

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Answer:

u got this bro come on

x28

Answer:

See below ↓↓↓↓

Step-by-step explanation:

Top left box

f(x) = 2x² + 4

g(x) = 2f(x) - 3

Top right box

f(x) = 2x² + 4

g(x) = 2f(x) + 3

Bottom left box

f(x) = 2x² - 4

g(x) = 2f(x) - 3

Bottom right box

f(x) = 2x² - 4

g(x) = 2f(x) +3

Answer:

  √446 ≈ 21.12 cm

Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

  d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²

  d = √446 cm ≈ 21.12 cm

The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

_____

Additional comment

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

Answer:

[tex]\boxed{A) \;m=\dfrac{1}{6} }[/tex]

Step-by-step explanation:

[tex]m=\dfrac{rise}{run}[/tex]

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{6-8}{-7-5}[/tex]

[tex]m=\dfrac{-2}{-12}[/tex]

[tex]m=\dfrac{1}{6}[/tex]

Hope it helps! :)

l×d×h

= 9m×4m×5m

= 180m²

Line CB touches circle A only at one point (point B), hence CB is a tangent.

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

When a line intersects a circle in exactly one point the line is said to be tangent to the circle

Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.

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Answer:

number of terms

Step-by-step explanation:

Answer:

n represents any natural number.

Step-by-step explanation:

Answer:

1) NAME OF CIRCLE : CIRCLE ABDE

2) CHORD : SEGMENT DE

3)DIAMETER: SEG DB

4)TANGENT LINE : RAY E

5) SECANT LINE : SEGMENT AB

HOPE IT HELPS!

MARK AS BRAINLIAST.

Answer:

Step-by-step explanation:

Number 1 FALSE

9 * 9 * 3 = 81 * 3 = 243

Number 2 TRUE

7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3

7 * 3 = 3 * 7

21 = 21

Number 3 FALSE

17 * 17 * 17 = 4913

Number 4 FALSE

4 * 1 = 4

Number 5 FALSE

6 + 6 + 6 = 18

Answer:

2.25 ounces

Explanation:

so total used:

Answer:

Coordinates: (0,0) ; (1,5) ; (2,10)

Step-by-step explanation:

x  |  y

0  0

1   5

2  10

Coordinates: (0,0) ; (1,5) ; (2,10)

This should be a straight line that is going diagonally with a positive slope.

Answer:

To get the discount for the 5 pound bag of apples, we must first note the following:

The original price of the apples, which in this case it is 2.99

Also we must note the sale price for the apples which is 1.59

to get the discount for apples we must then create an equation based on the above information,

Discount for A= original price -sale price

Discount for A=2.99-1.59

Discount for A=1.40

Part 1 Answer is 1.40 which is the discount for apples at Handy Dandy Grocery.

Part 2

To get the discount for oranges we follow the same steps.

Discount for R= Original price for R -sale price for R

Discount for R=3.99-2.59

Discount for R=1.40

In conclusion, for both part one and part two we can derive a formula based on the apples and orange and say discount in both cases is arrived by the following:

D=Op-Sp. ( d= discount, Or= original price, Sp= sale price.)

Answer:

I'm not certain I understand what is being requested.  Please see the attached explanation for two different approaches.

Step-by-step explanation:

See attachment.

Answer:

[tex] \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} [/tex]

Step-by-step explanation:

HOPE IT HELPS (^o^)/

#carryonlearning

Answer:

no there not

Step-by-step explanation:

6 and 6 are like terms because they have no negative sign but -6 and -6 are like terms because they have a negative sign

Answer:

Triangle Area = 1/2 x Base Length x Height Example:

The pooled sample proportion requires two samples combined to estimate the single p instead of estimating p1 and p2 separately. Therefore, it's true.

It should be noted that the pooled sample of a proportion is the weighted average of the proportion from the two samples.

In this case, the combined pool sample is called the poooled sample proportion and it's used in expression of the standard error.

In conclusion, the correct option is true.

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Answer:  the factor that we can multiply by itself to get that number

Step-by-step explanation:

For example, the square root of 4, is 2 because 2*2 is 4.

Answer:

the root of the number- by finding the square root you're finding the number you have to multiply by itself to get the number you were give

Step-by-step explanation: